# Gravity dual of a multilayer system

## TL;DR

This paper constructs a gravity dual for a layered (2+1)-dimensional system within a (3+1)-dimensional theory, revealing anisotropic features and scale-dependent behaviors through supergravity solutions.

## Contribution

It provides a fully backreacted, supersymmetric supergravity solution for intersecting D3- and D5-branes with smeared sources, modeling multilayer systems in gauge/gravity duality.

## Key findings

- Solution exhibits anisotropy at short distances.
- Demonstrates running behavior in Wilson loops and entanglement entropy.
- Reveals thermodynamic properties of the layered system.

## Abstract

We construct a gravity dual to a system with multiple (2+1)-dimensional layers in a (3+1)-dimensional ambient theory. Following a top-down approach, we generate a geometry corresponding to the intersection of D3- and D5-branes along 2+1 dimensions. The D5-branes create a codimension one defect in the worldvolume of the D3-branes and are homogeneously distributed along the directions orthogonal to the defect. We solve the fully backreacted ten-dimensional supergravity equations of motion with smeared D5-brane sources. The solution is supersymmetric, has an intrinsic mass scale, and exhibits anisotropy at short distances in the gauge theory directions. We illustrate the running behavior in several observables, such as Wilson loops, entanglement entropy, and within thermodynamics of probe branes.